11(x+1)-4(x+8)=14

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Solution for 11(x+1)-4(x+8)=14 equation: 


Simplifying
11(x + 1) + -4(x + 8) = 14

Reorder the terms:
11(1 + x) + -4(x + 8) = 14
(1 * 11 + x * 11) + -4(x + 8) = 14
(11 + 11x) + -4(x + 8) = 14

Reorder the terms:
11 + 11x + -4(8 + x) = 14
11 + 11x + (8 * -4 + x * -4) = 14
11 + 11x + (-32 + -4x) = 14

Reorder the terms:
11 + -32 + 11x + -4x = 14

Combine like terms: 11 + -32 = -21
-21 + 11x + -4x = 14

Combine like terms: 11x + -4x = 7x
-21 + 7x = 14

Solving
-21 + 7x = 14

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '21' to each side of the equation.
-21 + 21 + 7x = 14 + 21

Combine like terms: -21 + 21 = 0
0 + 7x = 14 + 21
7x = 14 + 21

Combine like terms: 14 + 21 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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